# Pythagorean Triplet

A Pythagorean triplet is a set of three natural numbers, {a, b, c}, for
which,

```
a**2 + b**2 = c**2
```

For example, 

```
3**2 + 4**2 = 9 + 16 = 25 = 5**2.
```

There exists exactly one Pythagorean triplet for which a + b + c = 1000.

Find the product a * b * c.

## Running the tests

To run the tests, run the command `busted .` from within the exercise directory.

## Further information

For more detailed information about the Lua track, including how to get help if
you're having trouble, please visit the exercism.io [Lua language page](http://exercism.io/languages/lua/about).

## Source

Problem 9 at Project Euler [http://projecteuler.net/problem=9](http://projecteuler.net/problem=9)

## Submitting Incomplete Solutions
It's possible to submit an incomplete solution so you can see how others have completed the exercise.